Solve 3/4geq-1/2+m

$$\frac { 3 } { 4 } \geq - \frac { 1 } { 2 } + m$$

Solve for m

$$m\leq \frac{5}{4}$$

Solution Steps

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-\frac{1}{2}+m\leq \frac{3}{4}$$

Add \frac{1}{2} to both sides.

$$m\leq \frac{3}{4}+\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$m\leq \frac{3}{4}+\frac{2}{4}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$m\leq \frac{3+2}{4}$$

Add 3 and 2 to get 5.

$$m\leq \frac{5}{4}$$